This is a list of geometric shapes. In geometry, two sets of points are of the same shape precisely if one can be transformed to another by dilating (i. ...

Generally composed of straight line segments

• polygon
  • concave polygon
  • constructible polygon
  • convex polygon
  • cyclic polygon
  • decagon
  • digon
  • dodecagon
  • enneagon
  • equiangular polygon
  • equilateral polygon
  • henagon
  • hendecagon
  • heptagon
  • hexagon
    • Lemoine hexagon
    • Tucker hexagon
  • icosagon
    • swastika
  • octagon
  • pentagon
    • cyclic pentagon
  • regular polygon
    • regular decagon
    • regular dodecagon
    • regular hendecagon
    • regular hexagon
    • regular icosagon
    • regular octagon
    • regular pentagon
  • star without crossing lines
  • star polygon
    • decagram
    • dodecagram
    • octagram
    • star of Lakshmi (octagram)
    • heptagram
    • star of David, hexagram
    • star of Goliath, nonagram
    • pentagram
• triangle
  • acute triangle
  • anticomplementary triangle
  • equilateral triangle
  • excentral triangle, tritangent triangle
  • isosceles triangle
  • medial triangle, auxiliary triangle
  • obtuse triangle
  • rational triangle
  • right triangle
    • 30-60-90 triangle
    • isosceles right triangle
  • scalene triangle
  • Reuleaux triangle
• parallelogram
  • equilateral parallelogram: rhombus
    • Lozenge
  • rhomboid
  • Wittenbauer's parallelogram
• Penrose tile
  • Penrose dart
  • Penrose kite
• rectangle
• rhombus
  • Harborth's tile
• square
• trapezium
  • isosceles trapezium
• quadrilateral
  • cyclic quadrilateral, tetrachord, chordal tetragon ?
    • Brahmagupta's trapezium
  • equilic quadrilateral
  • kite
  • rational quadrilateral
  • strombus
  • tangential quadrilateral, tangential tetragon ?
  • trapezoid
    • isosceles trapezoid
• polydrafter

Look up polygon in Wiktionary, the free dictionary. ... In geometry, concavity is a property of certain geometric figures, and in calculus, a property of certain graphs of functions. ... In mathematics, a constructible polygon is a regular polygon that can be constructed with compass and straightedge. ... A convex pentagon In geometry, a convex polygon is a simple polygon whose interior is a convex set. ... In geometry, a circumcircle of a given two-dimensional geometric shape is the smallest circle which contains the shape completely within it. ... a regular decagon In geometry, a decagon is any polygon with ten sides and ten angles, and usually refers to a regular decagon, having all sides of equal length and all angles equal to 144°, therefore making each angle of a regular decagon be 144°. Its Schläfli symbol is... In geometry a digon is a polygon with two sides and two vertices. ... A regular dodecagon. ... A regular enneagon. ... Look up Polygon on Wiktionary, the free dictionary For other use please see Polygon (disambiguation) A polygon (literally many angle, see Wiktionary for the etymology) is a closed planar path composed of a finite number of sequential line segments. ... A polygon whose sides are equal (Williams 1979, pp. ... In geometry a henagon (or monogon) is a polygon with one side and one vertex. ... Categories: Math stubs | Polygons ... In geometry, a heptagon is a polygon with seven sides and seven angles. ... For other uses, see Hexagon (disambiguation). ... The Lemoine hexagon is a cyclic hexagon with vertices given by the six intersections of the edges of a triangle and the three lines that are parallel to the edges that pass through its symmedian point. ... A regular icosagon. ... This article is about the symbol. ... For other uses, see Octagon (disambiguation). ... Look up pentagon in Wiktionary, the free dictionary. ... A regular pentagon A regular polygon is a simple polygon (a polygon which does not intersect itself anywhere) which is equiangular (all angles are equal) and equilateral (all sides have the same length). ... a regular decagon In geometry, a decagon is any polygon with ten sides and ten angles, and usually refers to a regular decagon, having all sides of equal length and all angles equal to 144°, therefore making each angle of a regular decagon be 144°. Its Schläfli symbol is... For other uses, see Octagon (disambiguation). ... In geometry, a pentagon is any five-sided polygon. ... The star, as an ideograph, most commonly represents the astronomical star for which it is named. ... In geometry, a star polygon is a complex, equilateral equiangular polygon, so named for its starlike appearance, created by connecting one vertex of a simple, regular, n-sided polygon to another, non-adjacent vertex and continuing the process until the original vertex is reached again. ... The decagram (symbol dag, sometimes dcg) is an SI unit of mass. ... In geometry, a star polygon is a complex, equilateral equiangular polygon, so named for its starlike appearance, created by connecting one vertex of a simple, regular, n-sided polygon to another, non-adjacent vertex and continuing the process until the original vertex is reached again. ... The complex {8/2} star polygon (i. ... A heptagram or septegram is a seven-pointed star drawn with seven straight strokes. ... This article is about a Jewish symbol. ... It has been suggested that Pascals Mystic Hexagram be merged into this article or section. ... Nonagram is a nine-pointed star similar to the hexagram. ... A pentagram A pentagram (sometimes known as a pentalpha or pentangle or, more formally, as a star pentagon) is the shape of a five-pointed star drawn with five straight strokes. ... For alternate meanings, such as the musical instrument, see triangle (disambiguation). ... For alternate meanings, such as the musical instrument, see triangle (disambiguation). ... The red triangle is the medial triangle of the black. ... For alternate meanings, such as the musical instrument, see triangle (disambiguation). ... A triangle (black) with incircle (blue), incentre (I), excircles (orange), excentres (JA,JB,JB), internal angle bisectors (red) and external angle bisectors (green) In geometry, the incircle or inscribed circle of a triangle is the largest circle contained in the triangle; it touches (is tangent to) the three sides. ... For alternate meanings, such as the musical instrument, see triangle (disambiguation). ... The red triangle is the medial triangle of the black. ... For alternate meanings, such as the musical instrument, see triangle (disambiguation). ... In geometry, a Heronian triangle is a triangle whose sidelengths and area are all rational numbers. ... For alternate meanings, such as the musical instrument, see triangle (disambiguation). ... Two types of special right triangles appear commonly in geometry, the angle based and the side based triangles. ... A triangle. ... For alternate meanings, such as the musical instrument, see triangle (disambiguation). ... The Reuleaux triangle is a constant width curve based on an equilateral triangle. ... A parallelogram. ... Two rhombi. ... A lozenge (◊) is a form of rhombus. ... These shapes are Rhomboids In geometry, a rhomboid is a parallelogram in which adjacent sides are of unequal lengths and angles are oblique. ... A Penrose tiling of rhombi A Penrose tiling is pattern of tiles, discovered by Roger Penrose and Robert Ammann, which could completely cover an infinite plane, but only in a pattern which is non-repeating (aperiodic). ... In geometry, a rectangle is defined as a quadrilateral where all four of its angles are right angles. ... Two rhombi. ... For other uses, see Square. ... Other uses: Quadrilateral (disambiguation) In geometry, a quadrilateral is a polygon with four sides and four vertices. ... An isosceles trapezoid (isosceles trapezium in British English) is a quadrilateral with a line of symmetry bisecting one pair of opposite sides. ... This article is about the geometric shape. ... In geometry, a cyclic quadrilateral is a quadrilateral whose vertices all lie on a single circle. ... The tetrachord is a concept of music theory borrowed from ancient Greece. ... A kite showing its equal sides and its inscribed circle. ... Tangential quadrilateral. ... This article is about the geometric figure. ... An isosceles trapezoid. ... In recreational mathematics, a polydrafter is a polyform with a triangle as the base form. ...

Curved

• annulus
• arbelos
• circle
  • disc
  • Archimedes' circle
  • Bankoff circle
  • circumcircle
  • excircle
  • incircle
  • nine-point circle
• circular sector
• circular segment
• crescent
• lune
• oval
• Reuleaux polygon
• rotor
  • lens, vesica piscis (fish bladder)
  • Reuleaux triangle
• sphere
• semicircle
• triquetra
• Yin-Yang

An annulus In mathematics, an annulus (the Latin word for little ring, with plural annuli) is a ring-shaped geometric figure, or more generally, a term used to name a ring-shaped object. ... Arbelos. ... Circle illustration This article is about the shape and mathematical concept of circle. ... In geometry, a disk is the region in a plane contained inside of a circle. ... In geometry, a circumcircle of a given two-dimensional geometric shape is the smallest circle which contains the shape completely within it. ... In geometry, the incircle or inscribed circle of a triangle is the largest circle contained in the triangle; it touches (is tangent to) the three sides. ... It has been suggested that this article or section be merged into Stanford University. ... In geometry, the nine-point circle is a circle that can be constructed for any given triangle. ... A circular sector or circle sector also known as a pie piece is the portion of a circle enclosed by two radii and an arc. ... In geometry, a circular segment (also circle segment) is an area of a circle informally defined as an area which is cut off from the rest of the circle by a secant or a chord. ... This article does not cite any references or sources. ... A lune is either of two figures, both shaped roughly like a crescent Moon. ... In geometry, an oval or ovoid (from Latin ovum, egg) is any curve resembling an egg or an ellipse. ... A Reuleuax polygon is a polygon that is a curve of constant width - that is, a curve in which all diameters are the same length. ... A rotor is an n-blade object in geometric algebra, which rotates another n-blade object about a fixed or translated point. ... A lens contained between two cirular arcs of radius R, and centers at O1 and O2 The shape of the portion of Kenny McCormicks face visible through his hood is almost a lens, although the arcs are either elliptical or parabolic rather than circular. ... The Vesica Piscis The vesica piscis is a symbol made from two circles of the same radius, intersecting in such a way that the center of each circle lies on the circumference of the other. ... The Reuleaux triangle is a constant width curve based on an equilateral triangle. ... A sphere is a symmetrical geometrical object. ... A semicircle of radius r. ... Close-up of a triquetra on one of the Funbo Runestones. ... Taoists Taijitu The concept of Yin Yang originates in ancient Chinese philosophy, most likely from the observations of day turning into night and night into day. ...

Not composed of circular arcs

• Archimedean spiral
• astroid, paracycle, cubocycloid
• deltoid
• ellipse
• smoothed octagon
• super ellipse
• tomahawk

An Archimedean spiral is a curve which in polar coordinates (r, θ) can be described by the equation with real numbers a and b. ... Astroid The construction of the astroid. ... The red curve is a deltoid. ... For other uses, see Ellipse (disambiguation). ... A superellipse is a geometrical figure which in a cartesian coordinate system can be described as the set of all points (x, y) with where and and are the radii of the oval shape. ... The tomahawk is a geometric shape with an unknown inventor. ...

See also

• List of curves
• List of triangle topics
• List of circle topics
• List of geometric surfaces
• Cuisenaire rods
• Unicode Geometric Shapes